Elliptic curve data - 193550.cm1

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• ec_curvedata •

  Column	Type
  Ciso	text
  Clabel	text
  Cnumber	smallint
  abc_quality	double precision
  absD	numeric
  adelic_genus	integer
  adelic_index	integer
  adelic_level	bigint
  ainvs	numeric[]
  analytic_rank	smallint
  bad_primes	integer[]
  class_deg	smallint
  class_size	smallint
  cm	smallint
  conductor	integer
  degree	bigint
  elladic_images	text[]
  faltings_height	numeric
  faltings_index	smallint
  faltings_ratio	smallint
  iso_nlabel	smallint
  isogeny_degrees	smallint[]
  jinv	numeric[]
  lmfdb_iso	text
  lmfdb_label	text
  lmfdb_number	smallint
  manin_constant	smallint
  min_quad_twist_ainvs	numeric[]
  min_quad_twist_disc	smallint
  modell_images	text[]
  modm_images	text[]
  nonmax_primes	smallint[]
  nonmax_rad	integer
  num_bad_primes	smallint
  num_int_pts	integer
  optimality	smallint
  potential_good_reduction	boolean
  rank	smallint
  regulator	numeric
  semistable	boolean
  serre_invariants	integer[]
  sha	integer
  sha_primes	smallint[]
  signD	smallint
  stable_faltings_height	numeric
  szpiro_ratio	double precision
  torsion	smallint
  torsion_primes	smallint[]
  torsion_structure	smallint[]

  
  {'Ciso': '193550s', 'Clabel': '193550s1', 'Cnumber': 1, 'abc_quality': 1.0808848321688802, 'absD': 591893319500, 'adelic_genus': 0, 'adelic_index': 2, 'adelic_level': 790, 'ainvs': [1, -1, 1, -169035, -26707033], 'analytic_rank': 0, 'bad_primes': [2, 5, 7, 79], 'class_deg': 1, 'class_size': 1, 'cm': 0, 'conductor': 193550, 'degree': 687744, 'elladic_images': [], 'faltings_height': {'__RealLiteral__': 0, 'data': '1.5451815640071763255979159744', 'prec': 100}, 'faltings_index': 0, 'faltings_ratio': 1, 'iso_nlabel': 64, 'isogeny_degrees': [1], 'jinv': [-1779709194818037, 1972156], 'lmfdb_iso': '193550.cm', 'lmfdb_label': '193550.cm1', 'lmfdb_number': 1, 'manin_constant': 1, 'min_quad_twist_ainvs': [1, -1, 1, -169035, -26707033], 'min_quad_twist_disc': 1, 'modell_images': [], 'modm_images': ['790.2.0.?'], 'nonmax_primes': [], 'nonmax_rad': 1, 'num_bad_primes': 4, 'num_int_pts': 0, 'optimality': 1, 'potential_good_reduction': False, 'rank': 0, 'regulator': 1, 'semistable': False, 'serre_invariants': [[2, 4, 19355], [3, 2, 2450], [5, 10, 7742], [7, 20, 3950], [79, 80, 2450]], 'sha': 1, 'sha_primes': [], 'signD': -1, 'stable_faltings_height': {'__RealLiteral__': 0, 'data': '0.49418536954688013024594189328', 'prec': 103}, 'szpiro_ratio': 3.9206474246695744, 'torsion': 1, 'torsion_primes': [], 'torsion_structure': []}
• ec_classdata •

  Column	Type
  anlist	smallint[]
  aplist	smallint[]
  class_deg	smallint
  class_size	smallint
  conductor	integer
  isogeny_matrix	smallint[]
  lmfdb_iso	text
  trace_hash	bigint

  
  {'anlist': [0, 1, 1, 0, 1, 0, 0, 0, 1, -3, 0, 3, 0, -2, 0, 0, 1, 7, -3, 1, 0], 'aplist': [1, 0, 0, 0, 3, -2, 7, 1, 2, 2, -5, -2, 0, -1, 5, -9, -10, 12, 8, -6, -16, 1, 0, 11, 0], 'class_deg': 1, 'class_size': 1, 'conductor': 193550, 'isogeny_matrix': [[1]], 'lmfdb_iso': '193550.cm', 'trace_hash': 1348798741675685541}
• ec_mwbsd •

  Column	Type
  area	numeric
  conductor	integer
  gens	numeric[]
  heights	numeric[]
  lmfdb_label	text
  ngens	smallint
  rank_bounds	smallint[]
  real_period	numeric
  sha_an	numeric
  special_value	numeric
  tamagawa_product	integer
  torsion_generators	numeric[]
  xcoord_integral_points	numeric[]

  
  {'area': {'__RealLiteral__': 0, 'data': '0.045485434369894684546155490947', 'prec': 107}, 'conductor': 193550, 'gens': [], 'heights': [], 'lmfdb_label': '193550.cm1', 'ngens': 0, 'rank_bounds': [0, 0], 'real_period': {'__RealLiteral__': 0, 'data': '0.11772686289114623018517664807', 'prec': 103}, 'sha_an': {'__RealLiteral__': 0, 'data': '1.0000000000000000000000000000', 'prec': 100}, 'special_value': {'__RealLiteral__': 0, 'data': '4.2381670640812642866663593306493104591', 'prec': 130}, 'tamagawa_product': 36, 'torsion_generators': [], 'xcoord_integral_points': []}
• lmfdb_label 193550.cm1 does not appear in ec_iwasawa
• ec_torsion_growth •

  Column	Type
  degree	smallint
  field	numeric[]
  lmfdb_label	text
  torsion	smallint[]

  
  
  • id: 8513998
    {'degree': 3, 'field': [-63, -28, 0, 1], 'lmfdb_label': '193550.cm1', 'torsion': [2]}
  • id: 8513999
    {'degree': 6, 'field': [3996, -558, 573, -31, 18, -3, 1], 'lmfdb_label': '193550.cm1', 'torsion': [2, 2]}
  • id: 8514000
    {'degree': 8, 'field': [-44, -16, -8, 47, -20, -7, 7, -4, 1], 'lmfdb_label': '193550.cm1', 'torsion': [3]}
  • id: 8514001
    {'degree': 12, 'field': [-39500, 0, -12892875, 0, -578275, 0, -54750, 0, 5630, 0, -135, 0, 1], 'lmfdb_label': '193550.cm1', 'torsion': [4]}
• ec_localdata •

  Column	Type
  conductor	integer
  conductor_valuation	smallint
  discriminant_valuation	smallint
  j_denominator_valuation	smallint
  kodaira_symbol	smallint
  lmfdb_label	text
  prime	integer
  reduction_type	smallint
  root_number	smallint
  tamagawa_number	smallint

  
  
  • id: 4793146
    {'conductor': 193550, 'conductor_valuation': 1, 'discriminant_valuation': 2, 'j_denominator_valuation': 2, 'kodaira_symbol': 6, 'lmfdb_label': '193550.cm1', 'prime': 2, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4793147
    {'conductor': 193550, 'conductor_valuation': 2, 'discriminant_valuation': 3, 'j_denominator_valuation': 0, 'kodaira_symbol': 3, 'lmfdb_label': '193550.cm1', 'prime': 5, 'reduction_type': 0, 'root_number': -1, 'tamagawa_number': 2}
  • id: 4793148
    {'conductor': 193550, 'conductor_valuation': 2, 'discriminant_valuation': 4, 'j_denominator_valuation': 0, 'kodaira_symbol': 4, 'lmfdb_label': '193550.cm1', 'prime': 7, 'reduction_type': 0, 'root_number': 1, 'tamagawa_number': 3}
  • id: 4793149
    {'conductor': 193550, 'conductor_valuation': 1, 'discriminant_valuation': 3, 'j_denominator_valuation': 3, 'kodaira_symbol': 7, 'lmfdb_label': '193550.cm1', 'prime': 79, 'reduction_type': 1, 'root_number': -1, 'tamagawa_number': 3}
• ec_galrep •

  Column	Type
  adelic_gens	bigint[]
  adelic_image	text
  conductor	integer
  elladic_image	text
  lmfdb_label	text
  modell_image	text
  prime	smallint

  
  {'adelic_gens': [[1, 1, 789, 0], [161, 2, 161, 3], [789, 2, 788, 3], [317, 2, 317, 3], [1, 0, 2, 1], [1, 2, 0, 1]], 'adelic_image': '790.2.0.?', 'conductor': 193550, 'lmfdb_label': '193550.cm1', 'prime': 0}
• lmfdb_iso 193550.cm does not appear in ec_padic